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Simplifying (2b + 3) + [2(2b + 3)] + [2[2(2b + 3)]] = 477 Reorder the terms: (3 + 2b) + [2(2b + 3)] + [2[2(2b + 3)]] = 477 Remove parenthesis around (3 + 2b) 3 + 2b + [2(2b + 3)] + [2[2(2b + 3)]] = 477 Reorder the terms: 3 + 2b + [2(3 + 2b)] + [2[2(2b + 3)]] = 477 3 + 2b + [(3 * 2 + 2b * 2)] + [2[2(2b + 3)]] = 477 3 + 2b + [(6 + 4b)] + [2[2(2b + 3)]] = 477 3 + 2b + [6 + 4b] + [2[2(2b + 3)]] = 477 Remove brackets around [6 + 4b] 3 + 2b + 6 + 4b + [2[2(2b + 3)]] = 477 Reorder the terms: 3 + 2b + 6 + 4b + [2[2(3 + 2b)]] = 477 3 + 2b + 6 + 4b + [2[(3 * 2 + 2b * 2)]] = 477 3 + 2b + 6 + 4b + [2[(6 + 4b)]] = 477 3 + 2b + 6 + 4b + [[6 * 2 + 4b * 2]] = 477 3 + 2b + 6 + 4b + [[12 + 8b]] = 477 3 + 2b + 6 + 4b + [12 + 8b] = 477 Remove brackets around [12 + 8b] 3 + 2b + 6 + 4b + 12 + 8b = 477 Reorder the terms: 3 + 6 + 12 + 2b + 4b + 8b = 477 Combine like terms: 3 + 6 = 9 9 + 12 + 2b + 4b + 8b = 477 Combine like terms: 9 + 12 = 21 21 + 2b + 4b + 8b = 477 Combine like terms: 2b + 4b = 6b 21 + 6b + 8b = 477 Combine like terms: 6b + 8b = 14b 21 + 14b = 477 Solving 21 + 14b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 14b = 477 + -21 Combine like terms: 21 + -21 = 0 0 + 14b = 477 + -21 14b = 477 + -21 Combine like terms: 477 + -21 = 456 14b = 456 Divide each side by '14'. b = 32.57142857 Simplifying b = 32.57142857
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